Some computations of the generalized Hilbert-Kunz function and multiplicity
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- by Hailong Dao and Kei-ichi Watanabe PDF
- Proc. Amer. Math. Soc. 144 (2016), 3199-3206 Request permission
Abstract:
Let $R$ be a local ring of characteristic $p>0$ which is $F$-finite and has perfect residue field. We compute the generalized Hilbert-Kunz invariant for certain modules over several classes of rings: hypersurfaces of finite representation type, toric rings, and weakly $F$-regular rings.References
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Additional Information
- Hailong Dao
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-7523
- MR Author ID: 828268
- Email: hdao@ku.edu
- Kei-ichi Watanabe
- Affiliation: Department of Mathematics, College of Human and Science, Nihon University, Setagaya, Tokyo, 156-0045, Japan
- MR Author ID: 216208
- Email: watanabe@math.chs.nihon-u.ac.jp
- Received by editor(s): March 3, 2015
- Received by editor(s) in revised form: July 28, 2015
- Published electronically: April 13, 2016
- Additional Notes: The first author was partially supported by NSF grant 1104017
The second author was partially supported by JSPS Grant-in-Aid for Scientific Research (C) Grant Number 26400053 - Communicated by: Irena Peeva
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 3199-3206
- MSC (2010): Primary 13A35; Secondary 13D07, 13H10
- DOI: https://doi.org/10.1090/proc/12928
- MathSciNet review: 3503689